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Simplifying (12x + 35) + -1(5x + -11) = -12 Reorder the terms: (35 + 12x) + -1(5x + -11) = -12 Remove parenthesis around (35 + 12x) 35 + 12x + -1(5x + -11) = -12 Reorder the terms: 35 + 12x + -1(-11 + 5x) = -12 35 + 12x + (-11 * -1 + 5x * -1) = -12 35 + 12x + (11 + -5x) = -12 Reorder the terms: 35 + 11 + 12x + -5x = -12 Combine like terms: 35 + 11 = 46 46 + 12x + -5x = -12 Combine like terms: 12x + -5x = 7x 46 + 7x = -12 Solving 46 + 7x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 7x = -12 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = -12 + -46 7x = -12 + -46 Combine like terms: -12 + -46 = -58 7x = -58 Divide each side by '7'. x = -8.285714286 Simplifying x = -8.285714286
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